456382 has 16 divisors (see below), whose sum is σ = 749952. Its totient is φ = 207360.

The previous prime is 456377. The next prime is 456403. The reversal of 456382 is 283654.

It is a d-powerful number, because it can be written as 4⁸ + 5⁷ + 3² + 6⁷ + 8 + 2¹⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 456382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁴⁵⁶³⁸² is an apocalyptic number.

456382 is a deficient number, since it is larger than the sum of its proper divisors (293570).

456382 is a wasteful number, since it uses less digits than its factorization.

456382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483.

The product of its digits is 5760, while the sum is 28.

The square root of 456382 is about 675.5605080228. The cubic root of 456382 is about 76.9915097177.

It can be divided in two parts, 456 and 382, that added together give a palindrome (838).

The spelling of 456382 in words is "four hundred fifty-six thousand, three hundred eighty-two".